Activity
Education Development Center

Factoring a Degree Six Polynomial

For Students 9th - 10th Standards
Within collaborative groups, scholars factor a degree six polynomial. They can factor the polynomial using many different strategies — a great way to prompt mathematical discussion.
Activity
Houston Area Calculus Teachers

Polynomial Graphing

For Students 11th - Higher Ed Standards
Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...
Activity
5280 Math

Polygon Polynomials

For Teachers 8th - 12th Standards
Patterns in polygons lead to patterns in polynomials. Presented with a series of polygons, individuals create polynomial expressions to represent their patterns. The algebra project consists of nine problems that incorporate polynomial...
Activity
Illustrative Mathematics

Slopes and Circles

For Teachers 9th - 12th Standards
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...
Activity
Illustrative Mathematics

Zeroes and factorization of a quadratic polynomial I

For Teachers 10th - 12th Standards
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Activity
PBL Pathways

Students and Teachers 2

For Students 10th - Higher Ed Standards
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
Activity
Illustrative Mathematics

Zeroes and Factorization of a General Polynomial

For Teachers 10th - 12th Standards
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Activity
1
1
Illustrative Mathematics

Combined Fuel Efficiency

For Teachers 8th - 11th Standards
Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...
Activity
PBL Pathways

Cell Phones

For Teachers 10th - Higher Ed Standards
Calling all subscribers! Model revenue based on individual cell phone subscribers. The project-based learning activity presents a challenge to scholars from a cell phone company. Individuals model data provided to them from the company...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Degree of a Polynomial

For Students 9th - 10th Standards
Find a quick, concise explanation of how to find the degree of a polynomial. Examples are given and clearly explained for how to find the degree of both a monomial and polynomial after it has been simplified.
Activity
Other

Karl's Calculus Tutor: Algebra Concepts Polynomials

For Students 9th - 10th Standards
This site gives a brief explanation to topics that are prerequisites to studying calculus. Among these operations factoring of polynomials. Special polynomials such as conjugates and differences of squares are also mentioned.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Degree of a Polynomial

For Students 9th - 10th Standards
Answer to a question about how to find the degree of a polynomial. The question involves the degree when one of the exponents is negative, as well as a polynomial of two variables.
Activity
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Vocabulary of Polynomial Function

For Students 9th - 10th
Here is a site that clearly and thoroughly explains all the vocabulary associated with polynomial functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out...
Activity
Paul Dawkins

Paul's Online Notes: Algebra: Polynomial Functions

For Students 9th - 10th Standards
Students investigate how to sketch and find solutions to higher degree polynomials. Topics explored are dividing polynomials, roots of polynomials, graphing polynomials, and finding zeroes of polynomials. Class notes, definitions, and...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Polynomial and Rational Functions

For Students 9th - 10th Standards
Hotmath provides 20 practice problems that relate to polynomial and rational functions. Each of the practice problems include a step-by-step guide for solving.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Polynomials

For Students 9th - 10th
Sixteen problems present a variety of practice working with polynomials. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check...
Activity
Analyze Math

Analyze Math: Introduction to Polynomials

For Students 9th - 10th Standards
Students are introduced to polynomials. The tutorial defines monomials, the leading coefficient, binomials, trinomials, and the degree of a polynomial.
Activity
Purple Math

Purplemath: Polynomials: Definition and Evaluation

For Students 9th - 10th Standards
A great lesson on polynomials is found at this Purplemath resource. Provides a clear definition of what a polynomial is, tells how to tell what the different degrees of a polynomial are, and how to simplify polynomials by combining like...
Activity
Texas Instruments

Texas Instruments: First Degree Monomials and Binomials

For Teachers 9th - 10th Standards
Students will apply basic operations to monomial and binomial expressions after recognizing the characteristics of polynomials.
Activity
Help Algebra

Help algebra.com: Polynomials

For Students 9th - 10th Standards
Polynomials are defined, then the parts of a polynomial are identified. The resource also gives examples of different types of polynomials.
Activity
Cool Math

Coolmath: Graphing Polynomials Increasing and Decreasing

For Students 7th - 9th Standards
This algebra lesson explains how to find where a polynomial is increasing, decreasing or neither.
Activity
Cool Math

Coolmath: Graphing Polynomials Absolute Maximums and Minimums

For Students 7th - 9th Standards
This algebra lesson explains how to find the absolute maximums and minimums (extrema) of a polynomial.
Activity
Cool Math

Coolmath: Graphing Polynomials Maximums and Minimums

For Students 6th - 8th
Find out how to find relative minimums and maximums of the typical polynomial.
Activity
Interactive Mathematics

Interactive Mathematics: Polynomial Functions and Equations

For Students 9th - 10th Standards
Want to find the roots of a polynomial function? Learn how, using several methods in this tutorial. Graphing and Scientific Notebook are used on the main page. Click on the "Dinosaur Method" link at the bottom of the page to see the...